Scale Factor, Scale Copy, and Corresponding parts

What is a scale factor?

• A number that scales or multiplies a quantity.

• A measurement of length in a specific unit.

• A ratio that compares two different quantities.

• A method for calculating area.

Tags

CCSS.7.G.A.1

What are corresponding angles?

• Angles that are equal in measure

• Angles that are in the same relative position in two or more figures

• Angles that are supplementary to each other

• Angles that are adjacent to each other

Tags

CCSS.8.G.A.5

How do you find the scale factor between two similar figures?

• Multiply the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

• Add the lengths of the corresponding sides of both figures.

• Divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

• Subtract the length of the smaller figure from the larger figure.

Tags

CCSS.7.G.A.1

If triangle ABC has a scale factor of 1/2 to triangle DEF, how does the size of triangle DEF compare to triangle ABC?

• Triangle DEF is the same size as triangle ABC.

• Triangle DEF is twice the size of triangle ABC.

• Triangle DEF is half the size of triangle ABC.

• Triangle DEF is one-fourth the size of triangle ABC.

Tags

CCSS.8.G.A.3

If the scale factor is 2, what does that mean?

• It means that the new figure is twice as large as the original figure.

• It means that the new figure is half the size of the original figure.

• It means that the new figure is three times larger than the original figure.

• It means that the new figure is the same size as the original figure.

Tags

CCSS.7.G.A.1

If two triangles are similar and the scale factor is 7/3, what can be said about their areas?

• The area of the larger triangle is 7/3 times the area of the smaller triangle.

• The area of the larger triangle is (7/3)² = 49/9 times the area of the smaller triangle.

• The area of the larger triangle is equal to the area of the smaller triangle.

• The area of the larger triangle is (3/7)² = 9/49 times the area of the smaller triangle.

What is the scale factor if the length of a side in the original figure is 10 and the corresponding side in the scaled figure is 5?

• 1/2

• 2

• 1/5

• 5

Tags

CCSS.7.G.A.1

What does it mean for one figure to be a scaled copy of another?

• A figure is a scaled copy of another if it has the same shape but is a different size, determined by a scale factor.

• A figure is a scaled copy of another if it has the same size but a different shape.

• A figure is a scaled copy of another if it is identical in size and shape.

• A figure is a scaled copy of another if it is rotated or flipped but maintains the same dimensions.

Tags

CCSS.8.G.A.3

How can you determine if two figures are similar?

• Two figures are similar if their corresponding angles are equal and their corresponding sides are proportional.

• Two figures are similar if they have the same area.

• Two figures are similar if they are both triangles.

• Two figures are similar if they can be rotated to match each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What are corresponding sides?

• Corresponding sides are the sides of two or more figures that are in the same relative position.

• Corresponding sides are the sides that are equal in length.

• Corresponding sides are the sides that are opposite to each other.

• Corresponding sides are the sides that form a right angle with each other.

Tags

CCSS.8.G.A.2